Math 521 (Finite Element Method)
- Course Details:
- Section 201, Spring 2016
- Lectures 9:30-11:00 in room Math 203.
- Instructor:
- Brian Wetton
- wetton@math.ubc.ca
- office: MATX 1107
- Office Hours:
- Tuesdays 2-3
- Fridays 11-12
- News:
- Assignment #3 posted, due Tuesday, March 1.
- Assignment #2 posted, due Tuesday, February 9.
- Course Resources:
- Course outline
- Course notes:
- Notes I
and sample MATLAB code for
problem #1. These notes
contain an introduction to finite difference methods.
- The video I showed in the first lecture is
here.
- An example for the procedure of
scaling
and non-dimensionalisation
that leads to the scaled problem #1 considered in the course.
- Some background notes on
Fourier Series and Transforms.
- Notes II (although
they are titled Notes III just to be confusing). These notes introduce
the notion of weak solution and the various function spaces needed
to describe the Finite Element Method.
- Notes III on the
basic ideas and convergence proof for conforming, Galerkin finite element
methods applied to a 1D boundary value problem.
- Notes IV on implementing
boundary conditions for the 1D boundary value problem.
- Notes V on
quadrature (approximate integration) methods.
- Notes VI
quadrature methods, part II.
- Notes VII
2D problems.
- Notes VIII
Analysis of 2D FEM.
- Notes IX
Domain approximation.
- Notes X
Approximating Neumann conditions. I am not sure now of the estimates on the
last two pages.
- Notes XI Time stepping
methods.
- Assignments: